I am testing the neutrality of of an insect population when I use DnaSP and Arlequin I get positive Tajima's D and Fu's Fs that are not significant. What does that mean?
It means that you either do not have enough samples to assess significance or they are neutrally evolving. If you have a low sample size for the given population or if you have high but not significant values then you probably need to add more samples to your data set. If the values of the test are near zero and you are confident in your sampling then it just means that it fits with neutrality.
The p-value should range between 1 and 0 and represents the probability that the D statistic is significantly different from zero (neutrally evolving if p > 0.05). You can not have a p-value over 1 because that would mean a probability of more than 100%. My guess is the value you gave is the Tajima's D value, but this value can not tell you of it is significant or not, for that you will the p-value.
The indices were positive and not significant in Region, pointing to different demographic histories among the analyzed regions. Please refer to this paper in the link below;
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